We discuss how to determine and combine upper limits based on observed events and estimated back- grounds with a Bayesian method, when insignificant signals are observed in independent measurements. In addition to som...We discuss how to determine and combine upper limits based on observed events and estimated back- grounds with a Bayesian method, when insignificant signals are observed in independent measurements. In addition to some general features deduced from the analytical formulae, systematic numerical results are obtained by a C＋＋ program （CULBA） for low-count experiments, which can be used as a reference to combine two upper limits.展开更多
基金Supported by National Natural Science Foundation of China(NSFC)(11005115),Joint Funds of the NSFC and Chinese Academia Sinica's Big Scientific Apparatus(U1232109)
文摘We discuss how to determine and combine upper limits based on observed events and estimated back- grounds with a Bayesian method, when insignificant signals are observed in independent measurements. In addition to some general features deduced from the analytical formulae, systematic numerical results are obtained by a C＋＋ program （CULBA） for low-count experiments, which can be used as a reference to combine two upper limits.
